𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The mass of unimodular lattices

✍ Scribed by Mikhail Belolipetsky; Wee Teck Gan

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
229 KB
Volume
114
Category
Article
ISSN
0022-314X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

The Shadow Theory of Modular and Unimodu
The Shadow Theory of Modular and Unimodular Lattices
✍ E.M Rains; N.J.A Sloane πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 452 KB

It is shown that an n-dimensional unimodular lattice has minimal norm at most 2[nΓ‚24]+2, unless n=23 when the bound must be increased by 1. This result was previously known only for even unimodular lattices. Quebbemann had extended the bound for even unimodular lattices to strongly N-modular even la

On the Dirichletβ€”Voronoi cell of unimodu
On the Dirichletβ€”Voronoi cell of unimodular lattices
✍ Ákos G. HorvΓ‘th πŸ“‚ Article πŸ“… 1996 πŸ› Springer 🌐 English βš– 448 KB

This paper consists of two results concerning the Dirichlet-Voronoi cell of a lattice. The first one is a geometric property of the cell of an integral unimodular lattice while the second one gives a characterization of all those lattice vectors of an arbitrary lattice whose multiples by Β½ are on th

Even Unimodular Gaussian Lattices of Ran
Even Unimodular Gaussian Lattices of Rank 12
✍ Masaaki Kitazume; Akihiro Munemasa πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 178 KB

We classify even unimodular Gaussian lattices of rank 12, that is, even unimodular integral lattices of rank 12 over the ring of Gaussian integers. This is equivalent to the classification of the automorphisms t with t 2 ΒΌ Γ€1 in the automorphism groups of all the Niemeier lattices, which are even un